A FIXED POINT THEOREM ON ENRICHED (ψ, φλ)-WEAKLY CONTRACTIVE MAPS IN CONVEX METRIC SPACES

Abstract

In this paper, we define enriched (ψ, φλ)-weakly contractive map in convex metric spaces where ψ is continuous on [0,+∞) and φλ is not continuous on [0,+∞) and prove the existence and uniqueness of fixed points of these maps in complete convex metric spaces. We provide an example in support of our result.